Friday, October 10, 2014

Graphical derivation of beta A firm wishes to estimate graphically the betas for two assets, A and...

Graphical derivation of beta A firm wishes to estimate graphically the betas for two assets, A and B. It has gathered the return data shown in the following table for the market portfolio and for both assets over the last ten years, 1994–2003.

 

Actual return

Year

Market portfolio

Asset A

Asset B

1994

6%

11%

16%

1995

2

8

11

1996

-13

-4

-10

1997

-4

3

3

1998

-8

0

-3

1999

16

19

30

2000

10

14

22

2001

15

18

29

2002

8

12

19

2003

13

17

26

a. On a set of “market return (axis)–asset return (axis)” axes, use the data given to draw the characteristic line for asset A and for asset B.

b. Use the characteristic lines from part a to estimate the betas for assets A and B.

c. Use the betas found in part b to comment on the relative risks of assets A and B.

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